| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.595010884943598 |
| beta | 0.107134386406202 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 6.36 | 6.31 | 0.0499999999999998 |
| 4 | 6.37 | 6.32293785055035 | 0.0470621494496477 |
| 5 | 6.33 | 6.33712767775654 | -0.00712767775654122 |
| 6 | 6.34 | 6.31861960607703 | 0.0213803939229722 |
| 7 | 6.42 | 6.31843706464188 | 0.101562935358124 |
| 8 | 6.42 | 6.37243825182379 | 0.0475617481762063 |
| 9 | 6.48 | 6.39734002202763 | 0.0826599779723693 |
| 10 | 6.47 | 6.44839487437867 | 0.0216051256213339 |
| 11 | 6.5 | 6.46449866806368 | 0.0355013319363158 |
| 12 | 6.52 | 6.49113392814657 | 0.0288660718534279 |
| 13 | 6.49 | 6.51566123651103 | -0.0256612365110334 |
| 14 | 6.51 | 6.50610839845439 | 0.00389160154561008 |
| 15 | 6.52 | 6.51438789524514 | 0.00561210475486096 |
| 16 | 6.54 | 6.52404886011016 | 0.0159511398898431 |
| 17 | 6.59 | 6.54087848679458 | 0.0491215132054226 |
| 18 | 6.6 | 6.58057615283263 | 0.0194238471673698 |
| 19 | 6.59 | 6.60384157933079 | -0.0138415793307898 |
| 20 | 6.58 | 6.60643136790932 | -0.026431367909316 |
| 21 | 6.55 | 6.5998451979337 | -0.0498451979337045 |
| 22 | 6.57 | 6.57615010596422 | -0.00615010596422216 |
| 23 | 6.61 | 6.5780620239051 | 0.0319379760949046 |
| 24 | 6.61 | 6.60467268750813 | 0.00532731249186913 |
| 25 | 6.64 | 6.61578931214547 | 0.0242106878545254 |
| 26 | 6.59 | 6.63968508822813 | -0.0496850882281308 |
| 27 | 6.67 | 6.61644484129259 | 0.053555158707411 |
| 28 | 6.58 | 6.65804759894627 | -0.0780475989462692 |
| 29 | 6.66 | 6.61637005122604 | 0.0436299487739626 |
| 30 | 6.7 | 6.64987320906727 | 0.0501267909327261 |
| 31 | 6.65 | 6.69043744744469 | -0.0404374474446882 |
| 32 | 6.65 | 6.67453724757842 | -0.0245372475784222 |
| 33 | 6.73 | 6.66653368522798 | 0.0634663147720209 |
| 34 | 6.74 | 6.7149389320921 | 0.0250610679078989 |
| 35 | 6.74 | 6.74209018502727 | -0.00209018502726632 |
| 36 | 6.71 | 6.75295290572791 | -0.0429529057279074 |
| 37 | 6.78 | 6.73676378147993 | 0.0432362185200654 |
| 38 | 6.83 | 6.77461426575955 | 0.0553857342404518 |
| 39 | 6.8 | 6.82322447013659 | -0.0232244701365936 |
| 40 | 6.84 | 6.82358027724057 | 0.0164197227594283 |
| 41 | 6.81 | 6.84857150435944 | -0.0385715043594361 |
| 42 | 6.75 | 6.83838356878682 | -0.0883835687868171 |
| 43 | 6.8 | 6.79292280256057 | 0.00707719743942636 |
| 44 | 6.84 | 6.80471337524415 | 0.0352866247558499 |
| 45 | 6.8 | 6.83553824986906 | -0.035538249869064 |
| 46 | 6.84 | 6.82195612741116 | 0.0180438725888381 |
| 47 | 6.79 | 6.84140617803081 | -0.0514061780308115 |
| 48 | 6.8 | 6.81625574786669 | -0.0162557478666949 |
| 49 | 6.68 | 6.81098396530791 | -0.130983965307911 |
| 50 | 6.82 | 6.72909792419662 | 0.0909020758033803 |
| 51 | 6.85 | 6.78503114794718 | 0.0649688520528189 |
| 52 | 6.85 | 6.82967533391764 | 0.0203246660823639 |
| 53 | 6.85 | 6.84905136201251 | 0.00094863798749234 |
| 54 | 6.92 | 6.8569589144807 | 0.063041085519302 |
| 55 | 6.91 | 6.90583077408779 | 0.00416922591220725 |
| 56 | 6.94 | 6.91993900841238 | 0.0200609915876182 |
| 57 | 6.99 | 6.94478182679352 | 0.045218173206484 |
| 58 | 7.05 | 6.98747592544196 | 0.0625240745580422 |
| 59 | 6.98 | 7.04445289130711 | -0.0644528913071136 |
| 60 | 6.91 | 7.02176855821097 | -0.111768558210973 |
| 61 | 6.98 | 6.96380607567703 | 0.016193924322975 |
| 62 | 7.06 | 6.98301496305654 | 0.0769850369434639 |
| 63 | 7.05 | 7.04330272202307 | 0.00669727797693387 |
| 64 | 6.95 | 7.06219542485242 | -0.112195424852418 |
| 65 | 7.09 | 7.00319365166156 | 0.0868063483384418 |
| 66 | 7.15 | 7.06813366806663 | 0.0818663319333748 |
| 67 | 7.1 | 7.13535298245465 | -0.035352982454655 |
| 68 | 7.2 | 7.13057191317991 | 0.0694280868200927 |
| 69 | 7.26 | 7.19256249223444 | 0.0674375077655576 |
| 70 | 7.26 | 7.25766753495562 | 0.00233246504438434 |
| 71 | 7.24 | 7.28418305420373 | -0.0441830542037298 |
| 72 | 7.26 | 7.28020483463727 | -0.0202048346372745 |
| 73 | 7.26 | 7.28920593677855 | -0.0292059367785482 |
| 74 | 7.3 | 7.29098951984159 | 0.00901048015841077 |
| 75 | 7.21 | 7.31608667016973 | -0.106086670169733 |
| 76 | 7.23 | 7.26593714897635 | -0.0359371489763518 |
| 77 | 7.33 | 7.25523650243761 | 0.074763497562393 |
| 78 | 7.33 | 7.31516982890026 | 0.0148301710997352 |
| 79 | 7.31 | 7.34038753970323 | -0.0303875397032298 |
| 80 | 7.3 | 7.33676313244952 | -0.0367631324495186 |
| 81 | 7.35 | 7.32700167083818 | 0.0229983291618163 |
| 82 | 7.4 | 7.35426498377573 | 0.0457350162242705 |
| 83 | 7.43 | 7.39797230311274 | 0.032027696887261 |
| 84 | 7.42 | 7.43556525984413 | -0.0155652598441263 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 7.44384766425746 | 7.34507147926549 | 7.54262384924942 |
| 86 | 7.46139156770501 | 7.34310896068968 | 7.57967417472035 |
| 87 | 7.47893547115257 | 7.34079099658112 | 7.61707994572402 |
| 88 | 7.49647937460013 | 7.33800101254439 | 7.65495773665588 |
| 89 | 7.51402327804769 | 7.33467848275224 | 7.69336807334314 |
| 90 | 7.53156718149525 | 7.33079197571728 | 7.73234238727322 |
| 91 | 7.54911108494281 | 7.32632628176225 | 7.77189588812336 |
| 92 | 7.56665498839037 | 7.32127567846372 | 7.81203429831702 |
| 93 | 7.58419889183793 | 7.3156401660212 | 7.85275761765465 |
| 94 | 7.60174279528549 | 7.30942325562667 | 7.89406233494431 |
| 95 | 7.61928669873304 | 7.30263061996039 | 7.9359427775057 |
| 96 | 7.6368306021806 | 7.29526924545861 | 7.9783919589026 |
